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Answer :
Final answer:
The expression -5x^(7)+5x^(7)-9x^(7) simplifies to -9x^(7). This solution is found by adding and subtracting the coefficients -5, 5, and -9, respectively, as each term involves the same power of x.
Explanation:
The mathematical expression you provided is -5x^(7)+5x^(7)-9x^(7). In this expression, you are adding and subtracting terms in descending powers of x, all of which are to the power of 7. This involves the principle of like terms in algebra. Like terms are terms that have the same variables and powers. In your problem, all three terms, -5x^(7), 5x^(7), and -9x^(7), are like terms because they all are multiples of x^(7). Since all the terms are like terms, you can simply add or subtract the coefficients (the numbers in front of x^(7)). So, your problem simplifies to -5+5-9. This equals -9 when you perform the addition and subtraction from left to right. Hence, -5x^(7)+5x^(7)-9x^(7) simplifies to -9x^(7).
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